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4623063768 = 2333293672011
BaseRepresentation
bin1000100111000111…
…00101101011011000
3102221012002222021000
410103203211223120
533432001020033
62042424145000
7222364252011
oct42343455330
912835088230
104623063768
111a62665264
12a90308160
13588a340bb
1431bdc2008
151c0ceba13
hex1138e5ad8

4623063768 has 128 divisors (see below), whose sum is σ = 13327488000. Its totient is φ = 1483090560.

The previous prime is 4623063751. The next prime is 4623063787. The reversal of 4623063768 is 8673603264.

4623063768 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 0 + 637 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297883 + ... + 2299893.

It is an arithmetic number, because the mean of its divisors is an integer number (104121000).

Almost surely, 24623063768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4623063768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663744000).

4623063768 is an abundant number, since it is smaller than the sum of its proper divisors (8704424232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4623063768 is a wasteful number, since it uses less digits than its factorization.

4623063768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4623063768 is about 67993.1155926834. The cubic root of 4623063768 is about 1665.8783905023.

The spelling of 4623063768 in words is "four billion, six hundred twenty-three million, sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 367 522 696 734 783 1044 1101 1468 1566 2011 2088 2202 2936 3132 3303 4022 4404 6033 6264 6606 8044 8808 9909 10643 12066 13212 16088 18099 19818 21286 24132 26424 31929 36198 39636 42572 48264 54297 58319 63858 72396 79272 85144 95787 108594 116638 127716 144792 174957 191574 217188 233276 255432 287361 349914 383148 434376 466552 524871 574722 699828 738037 766296 1049742 1149444 1399656 1476074 1574613 2099484 2214111 2298888 2952148 3149226 4198968 4428222 5904296 6298452 6642333 8856444 12596904 13284666 17712888 19926999 21403073 26569332 39853998 42806146 53138664 64209219 79707996 85612292 128418438 159415992 171224584 192627657 256836876 385255314 513673752 577882971 770510628 1155765942 1541021256 2311531884 4623063768